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Finding the Third Proportional to 212,430 and 459,714

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Solution

The third proportional to 212,430 and 459,714 is: 994,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,430 : 459,714 = 459,714 : x
  2. Step 2: Convert to fraction form
    212,430/459,714 = 459,714/x
  3. Step 3: Cross multiply
    212,430x = 459,714 × 459,714
  4. Step 4: Simplify right side
    212,430x = 211,336,961,796
  5. Step 5: Solve for x
    x = 211,336,961,796/212,430
  6. Step 6: Final answer
    x = 994,854.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.